REDUCTION TO COMMON DENOMINATOR ELUCIDATION PROBABILITY RULE

摘要

PROBLEM TO BE SOLVED: To solve the problem that, although the addition and subtraction calculation of different denominators of the fractions 1/m+1/n is an addition of 1/m of the total and 1/n of the total with the total of certain numbers as 1, the calculation by a mechanical method alone of the reduction to common denominator is performed due to the difficulty that an abstract idea of making a total to be 1 is understood.;SOLUTION: The addition of different denominators of the fractions includes a concept of the law of sum/product of probability, and converts the fraction into an area representing the probability. The square shapes of m × n pieces appear by superposing a square shape (1×1 probability plane) that is vertically m-divided on a plastic plate of a A4 size and the square shape (1×1 probability plane) that is horizontally n-divided on another transparent plastic plate. These pieces become the number of denominators of the reduction to the common denominator, and the number of square shapes in 1/m and 1/n becomes the denominators. When the calculation is completed by adding the number of denominators and the meaning of the reduction to the common denominator is understood together with the law of sum/production of the probability, the problem is solved.;SELECTED DRAWING: Figure 3;COPYRIGHT: (C)2018,JPO&INPIT